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Finding the Fourth Proportional to 117.25, 162.07 and 94.10

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Solution

The fourth proportional to 117.25, 162.07 and 94.10 is: 130.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.25 : 162.07 = 94.10 : x
  2. Step 2: Convert to fraction form
    117.25/162.07 = 94.10/x
  3. Step 3: Cross multiply
    117.25x = 162.07 × 94.10
  4. Step 4: Simplify right side
    117.25x = 15,249.74
  5. Step 5: Solve for x
    x = 15,249.74/117.25
  6. Step 6: Final answer
    x = 130.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.